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Simplifying 12 + -1(3m + 6) = 3 + 2m + -17 Reorder the terms: 12 + -1(6 + 3m) = 3 + 2m + -17 12 + (6 * -1 + 3m * -1) = 3 + 2m + -17 12 + (-6 + -3m) = 3 + 2m + -17 Combine like terms: 12 + -6 = 6 6 + -3m = 3 + 2m + -17 Reorder the terms: 6 + -3m = 3 + -17 + 2m Combine like terms: 3 + -17 = -14 6 + -3m = -14 + 2m Solving 6 + -3m = -14 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 6 + -3m + -2m = -14 + 2m + -2m Combine like terms: -3m + -2m = -5m 6 + -5m = -14 + 2m + -2m Combine like terms: 2m + -2m = 0 6 + -5m = -14 + 0 6 + -5m = -14 Add '-6' to each side of the equation. 6 + -6 + -5m = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -5m = -14 + -6 -5m = -14 + -6 Combine like terms: -14 + -6 = -20 -5m = -20 Divide each side by '-5'. m = 4 Simplifying m = 4
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